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Finding the Fourth Proportional to 2,949.34, 4,073.28 and 1,832.95

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Solution

The fourth proportional to 2,949.34, 4,073.28 and 1,832.95 is: 2,531.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.34 : 4,073.28 = 1,832.95 : x
  2. Step 2: Convert to fraction form
    2,949.34/4,073.28 = 1,832.95/x
  3. Step 3: Cross multiply
    2,949.34x = 4,073.28 × 1,832.95
  4. Step 4: Simplify right side
    2,949.34x = 7,466,118.58
  5. Step 5: Solve for x
    x = 7,466,118.58/2,949.34
  6. Step 6: Final answer
    x = 2,531.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.